Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-10T14:33:51.869Z Has data issue: false hasContentIssue false
  • English
  • Français

Vector Fields Tangent to Foliations

Published online by Cambridge University Press:  12 December 2008

L. F. Martins  and
F. Tari
L. F. Martins
Affiliation:
Departamento de Matemática, Instituto de Biociências, Letras e Ciências Exatas, Universidade Estadual Paulista ‘Júlio de Mesquita Filho’, R. Cristóvão Colombo, 2265 Jardim Nazareth, CEP 15054-000, São José do Rio Preto SP, Brazil (lmartins@ibilce.unesp.br)
F. Tari
Affiliation:
Department of Mathematical Sciences, Durham University, Science Laboratories, South Road, Durham DH1 3LE, UK (farid.tari@durham.ac.uk)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We investigate in this paper the topological stability of pairs (ω, X), where ω is a germ of an integrable 1-form and X is a germ of a vector field tangent to the foliation determined by ω.

Keywords

1-formfoliationsingularitytopological stabilityvector field
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 51 , Issue 3 , October 2008 , pp. 765 - 778
Copyright
Copyright © Edinburgh Mathematical Society 2008